1. Some topological properties of $\omega$-covering sets
- Creator:
- Nowik, Andrzej
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- ${\omega }$-covering set, ${\mathcal E}$, and hereditarily nonparadoxical set
- Language:
- English
- Description:
- We prove the following theorems: There exists an ${\omega }$-covering with the property $s_0$. Under $\mathop {\mathrm cov}\nolimits ({\mathcal N}) = $ there exists $X$ such that $ \forall _{B \in {\mathcal B}or} [B\cap X$ is not an ${\omega }$-covering or $X\setminus B$ is not an ${\omega }$-covering]. Also we characterize the property of being an ${\omega }$-covering.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public